随机中立型时变时滞系统间歇非脆弱控制的广义系统方法

IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans Pub Date : 2021-11-01 DOI:10.1109/tsmc.2020.2965091

Kui Ding, Quanxin Zhu, Haidan Li

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引用次数: 21

摘要

研究了一类具有随机不确定性的随机中立型时变时滞系统的间歇非脆弱控制问题。首先，通过变量代换将该问题转化为广义系统的间歇镇定问题。其次，根据间歇控制广义系统的动态特性，引入时变切换Lyapunov泛函，并利用凸组合技术为系统的稳定性提供充分条件。然后，证明了这些条件可以转化为一组线性矩阵不等式的可行解。最后，通过数值算例验证了该方法的有效性和优越性。

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A Generalized System Approach to Intermittent Nonfragile Control of Stochastic Neutral Time-Varying Delay Systems

This article focuses on the intermittent nonfragile control problem for a class of stochastic neutral-type time-varying delay systems with randomly occurring uncertainties. First, the problem is transformed into the intermittent stabilization problem of generalized systems by variable substitution. Second, based on the dynamic characteristics of the intermittent controlled generalized systems, the time-dependent switching Lyapunov functional is introduced, and the convex combination technique is applied to provide sufficient conditions for the stability of the systems. Then, it is proved that the conditions can be transformed into a feasible solution of a group of linear matrix inequalities. Finally, several numerical examples are provided to verify the effectiveness and advantages of the proposed method.

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来源期刊

IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans 工程技术-计算机：控制论

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： The scope of the IEEE Transactions on Systems, Man, and Cybernetics: Systems includes the fields of systems engineering. It includes issue formulation, analysis and modeling, decision making, and issue interpretation for any of the systems engineering lifecycle phases associated with the definition, development, and deployment of large systems. In addition, it includes systems management, systems engineering processes, and a variety of systems engineering methods such as optimization, modeling and simulation.